WSEAS Transactions on Systems and Control
Print ISSN: 1991-8763, E-ISSN: 2224-2856
Volume 17, 2022
Comparison Between Bézier Extraction and Associated Bézier Elements in Eigenvalue Problems
Author:
Abstract: This paper shows that the control points which are implicitly encountered in the Bézier extraction during isogeometric analysis can be explicitly used to form Bézier elements of $$C{^0}-continuity$$ in several ways, thus eventually leading to a superior accuracy and performance than the $$C{^p}-continuity$$. The study is reduced to the eigenvalue extraction in problems governed by the Helmholtz equation. Analysis is performed in conjunction with piecewise cubic interpolation for three benchmark tests in one and two dimensions. In the latter case a rectangular and a circular acoustical cavity under Neumann boundary conditions are analyzed. Several computational details are also discussed.